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Finding the Fourth Proportional to 196,220.20, 293,674.20 and 137,171.20

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Solution

The fourth proportional to 196,220.20, 293,674.20 and 137,171.20 is: 205,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,220.20 : 293,674.20 = 137,171.20 : x
  2. Step 2: Convert to fraction form
    196,220.20/293,674.20 = 137,171.20/x
  3. Step 3: Cross multiply
    196,220.20x = 293,674.20 × 137,171.20
  4. Step 4: Simplify right side
    196,220.20x = 40,283,642,423.04
  5. Step 5: Solve for x
    x = 40,283,642,423.04/196,220.20
  6. Step 6: Final answer
    x = 205,298.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.